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Finding the Fourth Proportional to 1,568.71, 2,164.87 and 905.64

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Solution

The fourth proportional to 1,568.71, 2,164.87 and 905.64 is: 1,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.71 : 2,164.87 = 905.64 : x
  2. Step 2: Convert to fraction form
    1,568.71/2,164.87 = 905.64/x
  3. Step 3: Cross multiply
    1,568.71x = 2,164.87 × 905.64
  4. Step 4: Simplify right side
    1,568.71x = 1,960,592.87
  5. Step 5: Solve for x
    x = 1,960,592.87/1,568.71
  6. Step 6: Final answer
    x = 1,249.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.